12. A Pole 4m Long is laid along the principal axis of a convex mirror of
focal length 1m the end of the pole nearer the mirror is 2m from it.
Find the length of the image of the pole.
Ans: 0.19m

The length of the image of the pole is 4/3 m

Explanation:

The given parameters are;

The length of the Pole = 4 m

The type of mirror = Convex mirror

The distance of the pole from the mirror = 2 m

The mirror formula for convex mirrors is presented here as follows;

Where;

U = The object (pole) distance from the mirror = 2 m

V = The image of the objects (pole) distance from the mirror

The focal length of the mirror

Therefore, by substitution, we have;

We have;

Which by substitution gives;

The length of the image of the pole = 4/3 m

3.2x10^7